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Extensions 1→N→G→Q→1 with N=C4.Dic6 and Q=C2

Direct product G=N×Q with N=C4.Dic6 and Q=C2
dρLabelID
C2×C4.Dic6192C2xC4.Dic6192,1058

Semidirect products G=N:Q with N=C4.Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic6⋊1C2 = D4.Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:1C2192,322
C4.Dic6⋊2C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:2C2192,323
C4.Dic6⋊3C2 = D4.2Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:3C2192,325
C4.Dic6⋊4C2 = (C2×C8).200D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:4C2192,327
C4.Dic6⋊5C2 = Q8⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:5C2192,359
C4.Dic6⋊6C2 = D12.Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:6C2192,430
C4.Dic6⋊7C2 = D12.2Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:7C2192,450
C4.Dic6⋊8C2 = C6.72+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:8C2192,1059
C4.Dic6⋊9C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:9C2192,1072
C4.Dic6⋊10C2 = C6.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:10C2192,1073
C4.Dic6⋊11C2 = C42.90D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:11C2192,1078
C4.Dic6⋊12C2 = C42.94D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:12C2192,1088
C4.Dic6⋊13C2 = C42.95D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:13C2192,1089
C4.Dic6⋊14C2 = D4⋊5Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:14C2192,1098
C4.Dic6⋊15C2 = D4⋊6Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:15C2192,1102
C4.Dic6⋊16C2 = C42.116D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:16C2192,1121
C4.Dic6⋊17C2 = C42.134D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:17C2192,1142
C4.Dic6⋊18C2 = C4⋊C4.178D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:18C2192,1159
C4.Dic6⋊19C2 = C6.432+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:19C2192,1173
C4.Dic6⋊20C2 = C6.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:20C2192,1177
C4.Dic6⋊21C2 = C6.472+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:21C2192,1178
C4.Dic6⋊22C2 = C4⋊C4.187D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:22C2192,1183
C4.Dic6⋊23C2 = C6.152- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:23C2192,1184
C4.Dic6⋊24C2 = C6.212- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:24C2192,1198
C4.Dic6⋊25C2 = C6.772- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:25C2192,1201
C4.Dic6⋊26C2 = C6.782- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:26C2192,1204
C4.Dic6⋊27C2 = C6.252- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:27C2192,1205
C4.Dic6⋊28C2 = C6.802- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:28C2192,1209
C4.Dic6⋊29C2 = C6.632+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:29C2192,1219
C4.Dic6⋊30C2 = C6.852- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:30C2192,1224
C4.Dic6⋊31C2 = C6.692+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:31C2192,1226
C4.Dic6⋊32C2 = S3×C42.C2φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:32C2192,1246
C4.Dic6⋊33C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:33C2192,1248
C4.Dic6⋊34C2 = D12⋊7Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:34C2192,1249
C4.Dic6⋊35C2 = C42.152D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:35C2192,1253
C4.Dic6⋊36C2 = C42.154D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:36C2192,1255
C4.Dic6⋊37C2 = C42.156D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:37C2192,1257
C4.Dic6⋊38C2 = C42.159D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:38C2192,1260
C4.Dic6⋊39C2 = C42.161D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:39C2192,1266
C4.Dic6⋊40C2 = C42.162D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:40C2192,1267
C4.Dic6⋊41C2 = C42.165D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:41C2192,1271
C4.Dic6⋊42C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:42C2192,1287
C4.Dic6⋊43C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:43C2192,1288
C4.Dic6⋊44C2 = D12⋊9Q8φ: C2/C1 → C2 ⊆ Out C4.Dic696C4.Dic6:44C2192,1289
C4.Dic6⋊45C2 = C42.88D6φ: trivial image96C4.Dic6:45C2192,1076
C4.Dic6⋊46C2 = C42.229D6φ: trivial image96C4.Dic6:46C2192,1116
C4.Dic6⋊47C2 = C42.131D6φ: trivial image96C4.Dic6:47C2192,1139

Non-split extensions G=N.Q with N=C4.Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic6.1C2 = Q8.3Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.1C2192,355
C4.Dic6.2C2 = (C2×Q8).36D6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.2C2192,356
C4.Dic6.3C2 = Q8.4Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.3C2192,358
C4.Dic6.4C2 = C24⋊3Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.4C2192,415
C4.Dic6.5C2 = Dic6.Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.5C2192,416
C4.Dic6.6C2 = C8.8Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.6C2192,417
C4.Dic6.7C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.7C2192,435
C4.Dic6.8C2 = Dic6.2Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.8C2192,436
C4.Dic6.9C2 = C8.6Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.9C2192,437
C4.Dic6.10C2 = Q8⋊6Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.10C2192,1128
C4.Dic6.11C2 = Q8⋊7Dic6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.11C2192,1129
C4.Dic6.12C2 = Dic6⋊7Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.12C2192,1244
C4.Dic6.13C2 = C42.147D6φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.13C2192,1245
C4.Dic6.14C2 = Dic6⋊8Q8φ: C2/C1 → C2 ⊆ Out C4.Dic6192C4.Dic6.14C2192,1280

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